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Finding the Fourth Proportional to 127,825.92, 176,400.36 and 74,142.72

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Solution

The fourth proportional to 127,825.92, 176,400.36 and 74,142.72 is: 102,317.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,825.92 : 176,400.36 = 74,142.72 : x
  2. Step 2: Convert to fraction form
    127,825.92/176,400.36 = 74,142.72/x
  3. Step 3: Cross multiply
    127,825.92x = 176,400.36 × 74,142.72
  4. Step 4: Simplify right side
    127,825.92x = 13,078,802,499.38
  5. Step 5: Solve for x
    x = 13,078,802,499.38/127,825.92
  6. Step 6: Final answer
    x = 102,317.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.